68860800 has 192 divisors, whose sum is σ = 252327600. Its totient is φ = 18339840.

The previous prime is 68860793. The next prime is 68860801. The reversal of 68860800 is 806886.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68860801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86002 + ... + 86798.

Almost surely, 2^68860800 is an apocalyptic number.

68860800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126163800).

68860800 is an abundant number, since it is smaller than the sum of its proper divisors (183466800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

68860800 is a wasteful number, since it uses less digits than its factorization.

68860800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 68860800 is about 8298.2407774178. The cubic root of 68860800 is about 409.8805918382.

The spelling of 68860800 in words is "sixty-eight million, eight hundred sixty thousand, eight hundred".